The Leeds faithful were not happy about the pair leaving Yorkshire to play in Lancashire and were given plenty of stick by the away fans during the game.
Leeds secured a Carabao Cup victory at Burnley as Championship side prove Premier League quality on Tuesday night.
Burnley had put out a statement on Wednesday saying they were aware of the tweet and had contacted Ladbrokes for comment.
Chris Wood equalised late from for Burnley against his old club Leeds United.
"We've to take each game as it comes". "Twenty-odd million they've made for a club (in transfer fees) and they get slaughtered".
'Those two have been fantastic servants to Leeds, if I'm honest.
Boyhood Leeds fan Taylor destroyed his relationship with numerous supporters after former manager Garry Monk revealed that he refused to play in the final match of last season with a move to the Premier League pending. The team sacked the Premier League winning manager, Claudio Ranieri about halfway through the season past year.
It was a largely uneventful game, before an incredible end to the 90 minutes. Finally he was asked about the fitness of players Pontus Jansson, Liam Cooper and Matthew Pennington and he responded with "They will probably all be in (the squad)".
While it looked like he had done enough to force extra time then and there, there was further drama, as Leeds re-took the lead in the fourth of six minutes of added time through a penalty of their own.